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Cayley diagramAliases
Subgroups
356 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 18 points:
(1,2);(4,5)(7,8,9,10)(13,17)(15,18);(3,4,6,5)(11,12,14,16)(13,15,17,18);(3,5,6,4)(11,13)(12,15)(14,17)(16,18)
Conjugacy classes & character table
56 conjugacy classes — view the full character table.
Relationships
| Frattini subgroup of | #94103, #94107, #94194, … |
| maximal subgroup of | #7914, C2×#1286, #7959, … |
| maximal normal subgroup of | #7914, C2×#1286, #7959, … |
| maximal quotient of | C2×#1434, C2×C4⋊#95, C4×#382, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1013);
Finite Group Databasebeta